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math.AG2017★ 12 cited
Effective generation and twisted weak positivity of direct images
Yajnaseni Dutta, Takumi Murayama
In this paper, we study pushforwards of log pluricanonical bundles on projective log canonical pairs over the complex numbers, partially answering a Fujita-type conjecture…
math.AG2017
On the effective freeness of the direct images of pluricanonical bundles
Yajnaseni Dutta
We give effective bounds on the generation of pushforwards of log-pluricanonical bundles twisted by ample line bundles. This gives a partial answer to a conjecture proposed by Popa…